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Finding the Fourth Proportional to 2,562.35, 3,843.54 and 713.60

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Solution

The fourth proportional to 2,562.35, 3,843.54 and 713.60 is: 1,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.35 : 3,843.54 = 713.60 : x
  2. Step 2: Convert to fraction form
    2,562.35/3,843.54 = 713.60/x
  3. Step 3: Cross multiply
    2,562.35x = 3,843.54 × 713.60
  4. Step 4: Simplify right side
    2,562.35x = 2,742,745.34
  5. Step 5: Solve for x
    x = 2,742,745.34/2,562.35
  6. Step 6: Final answer
    x = 1,070.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.